Find the solution of the following Differential Equations 1) 4y" +7²y = 0, y(0) = 2, У (0) - 0. 2) y" + w²y =0, y(0) = A. y'(0) = B. 3) y" + 2y' – 8y = 0, y(0) =1, у(0) — 8. 4) y" – 2y' – 3y = 0, y(0) =1. y'(0) = 7. 5) y" – ky' = 0, y(0) = 2, y'(0) = k. 6) y" + ky' – 2k²y=0, y(0) = 2, y'(0) = 2k. %3D 7) y'+4y=0, y(0) = 2.8 8) y'+y= =17 sin(2r), y(0) = -1. 9) y" - y' – 6y =0, y(0) = 6, y'(0) =13. 10) y"-y=0. y(0) = 4, y'(0) = 0. 11) y" - 4y'+4y = 0, У (0) - 2.1, y'(0) = 3.9
Find the solution of the following Differential Equations 1) 4y" +7²y = 0, y(0) = 2, У (0) - 0. 2) y" + w²y =0, y(0) = A. y'(0) = B. 3) y" + 2y' – 8y = 0, y(0) =1, у(0) — 8. 4) y" – 2y' – 3y = 0, y(0) =1. y'(0) = 7. 5) y" – ky' = 0, y(0) = 2, y'(0) = k. 6) y" + ky' – 2k²y=0, y(0) = 2, y'(0) = 2k. %3D 7) y'+4y=0, y(0) = 2.8 8) y'+y= =17 sin(2r), y(0) = -1. 9) y" - y' – 6y =0, y(0) = 6, y'(0) =13. 10) y"-y=0. y(0) = 4, y'(0) = 0. 11) y" - 4y'+4y = 0, У (0) - 2.1, y'(0) = 3.9
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the solution of the following Differential Equations
1) 4y" +7²y = 0,
y(0) = 2,
У (0) - 0.
2) y" + w²y =0,
y(0) = A.
y'(0) = B.
3) y" + 2y' – 8y = 0,
y(0) =1,
у(0) — 8.
4) y" – 2y' – 3y = 0,
y(0) =1.
y'(0) = 7.
5) y" – ky' = 0,
y(0) = 2,
y'(0) = k.
6) y" + ky' – 2k²y=0,
y(0) = 2,
y'(0) = 2k.
%3D
7) y'+4y=0,
y(0) = 2.8
8) y'+y=
=17 sin(2r),
y(0) = -1.
9) y" - y' – 6y =0,
y(0) = 6,
y'(0) =13.
10) y"-y-0.
y(0) = 4,
y'(0) = 0.
11) y" – 4y' +4y=0,
12) y" +2y'+ 2y= 0,
13) y" + 7y' +12y=21e".
y(0) = 2.1,
y'(0) = 3.9
y(0) = 1,
y'(0) = -3.
y(0) = 3.5,
y'(0) = -10.
14) y" +9y =10e,
y(0) = 0,
y'(0) = 0.
15) у"+3у' +2.25 у - 9r? + 64,
16) y" - 6y'+5y = 29 cos(21),
17) y" +2y'+2y = 0,
18) y" +2y' +17y = 0,
y(0) =1,
y'(0) = 31.5
y(0) = 3.2,
y'(0) = 6.2
y(0) = 0,
y'(0) = 1.
y(0) = 0,
y'(0) = 12.
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